Positivity Bounds on Effective Field Theories

Matteo Delladio – PhD student ETH Zurich


Nearly two decades ago, Adams et al. (2006) demonstrated that the locality and unitarity of UV completions impose surprising constraints on the Wilson coefficients of otherwise healthy-looking, Lorentz-invariant effective field theories. Since then, the field has made significant progress and developed substantially. However, despite these advancements, we believe that fully satisfactory bounds for theories that non-linearly realize Lorentz symmetry remain elusive.

In this talk, I will provide a brief overview of the field, including a sketch of the derivation of the simplest positivity bounds in Lorentz-invariant effective field theories. I will then discuss the challenges and potential opportunities in applying these bounds to theories that non-linearly realize Lorentz symmetry.


References

  • The seminal paper: hep-th/0602178
  • A new hope: hep-th/2207.14224
  • The empire strikes again (or why things are tough): hep-th/2312.08441

Recording

This talk will be live-streamed, but *not* recorded.